Question

A lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below:

Triangle ABC has measure of angleC equal to 45 degrees, measure of angle ABC equal to 90 degrees, and length of BC equal to 12 feet.

What is the height, in feet, of the portion AB of the lamppost?

12 tan 45°
12 divided by tan 45 degrees
12 divided by cos 45 degrees
12 cos 45°

Answer 1

ok, 12 tan (45) is the answer

Answer 2

1st one

Answer 3

It always helps to draw out your triangle and label everything you know. Also remember the acronym Soh-Cah-Toa.
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent

Answer 4

here are the 2 givens, 45 degrees and adjacent side 12, we are looking for the opposite side of the angle wcih means we use Tan

Answer 5

oh! thanks again :)

Answer 6

\[\tan(45)=opposite/12\]

Answer 7

now to get opposite by its self we mulitiply 12 to both sides

Answer 8

\[12 \tan (45)=opposite\]

Answer 9

ur welcome

Answer 10

is your picture really you?

Answer 11

yup

Answer 12

and your in highschool?